Pith Number

pith:ADHTHG7H

pith:2026:ADHTHG7HNMRVYUE2MKRNUNZMQZ

not attested not anchored not stored refs pending

How AI settled the complexity of the oldest SGD algorithm

Micha{\l} Derezi\'nski, Xiaoyu Dong

arxiv:2606.29593 v1 · 2026-06-28 · cs.LG · cs.AI · cs.NA · math.NA · math.OC · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ADHTHG7HNMRVYUE2MKRNUNZMQZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-30T01:18:13.367230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00cf339be76b235c509a62a2da372c8643ef75d816339b8a3e9260f00dafa0b8

Aliases

arxiv: 2606.29593 · arxiv_version: 2606.29593v1 · doi: 10.48550/arxiv.2606.29593 · pith_short_12: ADHTHG7HNMRV · pith_short_16: ADHTHG7HNMRVYUE2 · pith_short_8: ADHTHG7H

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ADHTHG7HNMRVYUE2MKRNUNZMQZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 00cf339be76b235c509a62a2da372c8643ef75d816339b8a3e9260f00dafa0b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83748aaa71ba697a49a199e0707c1898493f849bb7fd401115f840316dbaa4c2",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NA",
      "math.NA",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-28T20:27:52Z",
    "title_canon_sha256": "45b561ca6a6a0aa95341f186228e477af0ba3e813121ccf0b23c17d0afc2de61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29593",
    "kind": "arxiv",
    "version": 1
  }
}